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Finding the Fourth Proportional to 16,439.68, 24,657.09 and 6,049

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Solution

The fourth proportional to 16,439.68, 24,657.09 and 6,049 is: 9,072.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,439.68 : 24,657.09 = 6,049 : x
  2. Step 2: Convert to fraction form
    16,439.68/24,657.09 = 6,049/x
  3. Step 3: Cross multiply
    16,439.68x = 24,657.09 × 6,049
  4. Step 4: Simplify right side
    16,439.68x = 149,150,737.41
  5. Step 5: Solve for x
    x = 149,150,737.41/16,439.68
  6. Step 6: Final answer
    x = 9,072.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.